Positive solutions for second order impulsive differential equations involving Stieltjes integral conditions

In this paper, the existence of at least three positive solutions to impulsive second order differential equations is investigated. Sufficient conditions which guarantee the existence of positive solutions are obtained, by using the Avery–Peterson theorem. An example is added to illustrate the resul...

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Veröffentlicht in:	Nonlinear analysis 2011-07, Vol.74 (11), p.3775-3785
1. Verfasser:	Jankowski, Tadeusz
Format:	Artikel
Sprache:	eng
Schlagworte:	Boundary conditions including a Stieltjes integral Differential equations Exact sciences and technology Existence theorems Impulsive second order differential equations Mathematical analysis Mathematics Nonlinearity Ordinary differential equations Positive solutions Real functions Sciences and techniques of general use Stieltjes integral Theorems
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Zusammenfassung:	In this paper, the existence of at least three positive solutions to impulsive second order differential equations is investigated. Sufficient conditions which guarantee the existence of positive solutions are obtained, by using the Avery–Peterson theorem. An example is added to illustrate the results.
ISSN:	0362-546X 1873-5215
DOI:	10.1016/j.na.2011.03.022